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Finding the Fourth Proportional to 13,134.96, 19,709.96 and 4,813.88

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Solution

The fourth proportional to 13,134.96, 19,709.96 and 4,813.88 is: 7,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.96 : 19,709.96 = 4,813.88 : x
  2. Step 2: Convert to fraction form
    13,134.96/19,709.96 = 4,813.88/x
  3. Step 3: Cross multiply
    13,134.96x = 19,709.96 × 4,813.88
  4. Step 4: Simplify right side
    13,134.96x = 94,881,259.63
  5. Step 5: Solve for x
    x = 94,881,259.63/13,134.96
  6. Step 6: Final answer
    x = 7,223.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.